Three ropes are connected to each other as shown in the figure. The tension in r

Question

Three ropes are connected to each other as shown in the figure. The tension in rope A, which hangs straight from the ceiling, is 413 N. Rope B has an angle of 38 degree with respect to vertical. Rope C has an angle of 19 with respect to horizontal. Answer with the tension from rope C.

Also, the picture with the problem is attatched.

Three ropes are connected to each other as shown in the figure. The tension in rope A, which hangs straight from the ceiling, is 413 N. Rope B has an angle of 38 degree with respect to vertical. Rope C has an angle of 19 with respect to horizontal. Answer with the tension from rope C. Also, the picture with the problem is attached.

Explanation / Answer

sum forces in the x
C*cos(19) - B*sin(38) = 0

B = C*cos(19)/sin(38)

sum froces in the y

413 - C*sin(19) - B*cos(38) = 0

413 - C*sin(19) - C*cos(19)/sin(38)*cos(38) = 0

C=269 N

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